Unravelling the Metastable Nature of the Single Site Tungsten Hydride

Publication Date (Web): December 26, 2018. Copyright © 2018 American Chemical Society. Cite this:J. Phys. Chem. C XXXX, XXX, XXX-XXX ...
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C: Surfaces, Interfaces, Porous Materials, and Catalysis

Unravelling the Metastable Nature of the Single Site Tungsten Hydride Metathesis Catalyst Supported on #-Alumina from First Principles Jerome Joubert, Françoise Delbecq, and Philippe Sautet J. Phys. Chem. C, Just Accepted Manuscript • DOI: 10.1021/acs.jpcc.8b09876 • Publication Date (Web): 26 Dec 2018 Downloaded from http://pubs.acs.org on January 2, 2019

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Unravelling the Metastable Nature of the Single Site Tungsten Hydride Metathesis Catalyst Supported on γ-alumina from First Principles Jérôme Joubert†, Françoise Delbecq†, Philippe Sautet†&ç* †Univ Lyon, ENS de Lyon, CNRS, Université Lyon 1, Laboratoire de Chimie UMR 5182, F69342, Lyon, France &Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, Los Angeles, CA 90095, United States çDepartment of Chemistry and Biochemistry, University of California, Los Angeles, Los Angeles, CA 90095, United States *corresponding author: [email protected]

Abstract We explore the structure and formation mechanism of the surface tungsten hydride complex supported on alumina, which is a catalyst for alkane and alkene metathesis and crossmetathesis. We show that the kinetics for the formation reaction of the hydride from the grafted alkylidyne-alkyl W complex strongly favors the creation of a metastable WVI trihydride, which is less coordinated by the alumina surface than the most stable isomer. The reaction network for the hydride formation involves hydrogenation of the W≡C or W=C bond, hydrogenolysis of W-C bonds, and a second grafting step. The creation of metastable surface complexes is proposed be a key path for the design of active and selective catalysts.

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1- Introduction The rupture and formation of C-C bonds is a fundamental reaction in Chemistry, and metathesis and cross-metathesis reactions are elegant and efficient processes. Since its discovery ten years ago

1, 2, 3

, a very active catalyst based on a tungsten hydride complex

supported on γ-alumina (W-H/Al 2 O 3 ) has been successfully used in alkane and alkene metathesis and cross-metathesis. 4 , 5 , 6 , 7 , 8 It has been proven both experimentally and theoretically

that

the

grafting

of

the

tungsten

neopentyl-neopentylidyne

[W(≡CtBu)(CH 2 tBu) 3 ] complex on γ-alumina initially gives the monografted alkylalkylidyne tungsten surface complex [(Al s O)W(≡CtBu)(CH 2 tBu) 2 ] (1, Scheme 1). 9 The reaction of this complex with hydrogen generates the active grafted tungsten hydride catalyst. However, the characterization of this tungsten-hydride species is still speculative. Experimentally, the hydride has not been isolated but an IR spectrum has been recorded after treatment of 1 under H 2 .2,3 The purpose of the present work is to characterize the hydride species by means of calculations based on density functional theory (DFT) and to study the mechanism leading to its formation. Grafted W hydrides form an important class of metathesis catalysts that has been later extended to a silica support. 10, 11

2- Methods The calculations were performed in the framework of density functional theory (DFT) with the PW91 functional 12 using a periodic description of the system as implemented in the VASP code. 13,14 The atomic cores have been described with the projected augmented wave (PAW) technique. 15 The “soft” version of the O atom PAW, with an atomic radius of 1.9 bohr was determined to be sufficient for the study, allowing us to limit the plane-wave energy cutoff to 275 eV. Tests with a harder O atom PAW and the associated plane-wave energy cutoff of 400 eV only decrease the energy difference between the most stable hydride structures by 0.1 eV,

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which is smaller than the general error linked with the DFT exchange correlation functional. Brillouin zone integration is converged with a 331 k-point mesh generated by the MonkhorstPack algorithm. Minimum energy pathways have been found using the nudged elastic band (NEB) method with eight equally spaced images along the pathway. 16,17 The transition state structures have been fully optimized and characterized by a single negative force constant along the reaction pathway. Vibrational frequencies have been calculated in the harmonic approximation by a numerical evaluation of the Hessian matrix. The bulk model used for γ-alumina comes from a previous theoretical study of the dehydration of boehmite, with the constraint of a distribution of 25% tetrahedral and 75 % octahedral Al atoms. 18 The (110) surface has been considered since it is the most abundant one on the alumina nanoparticles (~75% of the total surface), and it has been modeled by a 8.4 x 8.1 Å2 periodic slab, composed of 4 layers. The two bottom layers of the slab were maintained in the geometry of the bulk, while the two upper layers were relaxed. Following the alumina preparation procedure, the upper surface is partially hydroxylated, and hence for a realistic modeling a few water molecules should be chemisorbed. 19, 20 For the given cell size, the adsorption of three water molecules represents well the diversity of OH groups seen in IR spectra.9 It corresponds to a OH coverage of 7.3 OH/nm2 on the (110) surface or 5.5 OH/nm2 on the alumina particle, since the main other surface (100) does not present any OH. This coverage is higher than the average value measured for a typical pretreatment temperature of 500 °C (2-4 OH/nm2) 21,22,23,24 and corresponds to an hypothesis where the surface hydration is not homogeneous, as observed by Métivier et al. 25 These OH group are crucial sites for the grafting on the W complex on alumina. Surface aluminum atoms have a coordination ranging from IV to VI and interact with one or two OH groups. The surface unit cell present one 4coordinated Al (Al IV ), and three five coordinated one (Al V ), including OH or water adsorbates in this coordination count. Key OH groups on the surface for the complex grafting

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are a terminal OH on Al IV , a bridging OH on two Al V and a terminal OH on Al V . We will show that the choice of OH group for the complex grafting step has a strong influence in its stability and reactivity. In the paper, oxidation numbers will be mentioned by exponent (WVI for example means W at the oxidation degree 6) and neighbor coordination by a subscript (Al IV means 4-coordinated Al).

3- Results and discussion 1-Initial grafted complex and formation of various tungsten hydrides The formation of complex 1 involves the grafting of [W(≡CtBu)(CH 2 tBu) 3 ] on the 4coordinated (OAl) 3 Al IV OH surface atom, hence a tetrahedral surface atom. An (OAl) 3 Al IV O-W bond is formed, a neopentane molecule is released and a surface OH group is consumed. The resulting surface species 1 is shown on scheme 1. From this starting point, the possible tungsten hydride species grafted on alumina were thoroughly explored, keeping the Al IV -O-W linkage between the metal and the alumina surface. For the calculations, the heavy tertio-butyl and CH 2 tBu substituents have been replaced by methyl groups, as in our previous studies. The model starting complex 1m reads now [(Al s O)W(≡CCH 3 )(CH 3 ) 2 ] and is depicted in Scheme 1.

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Scheme 1: Grafted alkylidyne-alkyl W complex 1 [(Al s O)W(≡CtBu)(CH 2 tBu) 2 ] on the left ; Model complex 1m [(Al s O)W(≡CCH 3 )(CH 3 ) 2 ] on the right. H a and H b are involved in the formation of 2 and 2’, respectively. The grafted W hydrides have been systematically constructed, assuming that hydrogenolysis or grafting was removing all three ligands on 1 (or 1m). We will first focus on the stability of these hydrides and in a second step we will explore the formation pathways for the most stable structures. They were sorted in five classes, depending on the number of H atoms on W, from two to four, and on the oxidation degree of the tungsten atom. We have considered WVI complexes and, since equivalent d2 Ta hydride exist, we have also generated WIV supported hydrides (except for the tetrahydrides). The five classes are hence: WIV dihydride, WVI dihydride, WIV trihydride, WVI trihydride and WVI tetrahydride. The corresponding 13 calculated species are represented in figure 1 and labeled H1 to H13. These labels are only used for the study of the structure and stability of grafted W hydrides. The two most stable structures will be renumbered at the end of this section for the exploration of their formation pathways.

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H1

H2

H3

H5

H6

H8

H9

H10

H11

H12

H13

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H4

H7

Figure 1: Calculated structure of the W-hydrides grafted on γ-alumina. H1-H4: WIV dihydrides; H5-H6: WVI dihydrides; H7: WIV trihydride; H8-H10: WVI trihydrides; H11H13: WVI tetrahydrides.

These grafted hydrides are all neutral. Indeed, it has been impossible to find hydrides with charge separation, as it was the case for zirconium hydrides. 26 Dihydrides H1-H4 are grafted to the oxide support through two covalent Al-O-W bridges, named as bi-grafted here. Two OH groups have been transformed in this bi-grafting and 4 protons out of 6 remain on 6 ACS Paragon Plus Environment

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the surface in H 2 O or OH groups. These bi-grafted dihydride complexes correspond to WIV species (note that dative W-O bonds can also be formed from donation of oxygen lone pair into vacant W orbitals, but there do not change the W oxidation state). H1 and H2 only differ by the orientation of the OH group bridging two surface Al atoms, while H1 and H3 only differ by a supplementary dative O-W interaction in H3 due to a tilting of the O-W-O plane. In H1-H3 the second grafting uses an OH group on one type of surface Al V via H b (Scheme 1) while in H4, the second grafting is performed via a bridge OH (H a ) on two surface Al V atoms, slightly further away from the initial Al IV grafting site compared to H b . Note that the ML 4 WIV d2 dihydride complexes (H1-H2) give a calculated distorted tetrahedral structure, and are not stable in a square-planar like arrangement. This contrasts with the case of the tetra phenoxide WIV complexes which are square planar, and can be explained by the absence of π bonding effect from the hydride ligands. 27 Starting from H4 to form H5 and H6, 2 H atoms are removed from the surface and replaced by a gas phase H 2. Through this process the surface is formally oxidized, and since Al cannot change oxidation number, WIV is transformed into WVI. The tungsten remains bigrafted. Complexes H7 to H10 are trihydrides. In H7 the trihydride complex is only monografted and W has the oxidation degree IV. In H8, W is trigrafted with 3 protons remaining on the surface. The trigrafted W trihydride has hence the oxidation degree VI. In H9 and H10, WH 3 is only bigrafted, but instead of the normal count of 4 remaining H on the surface, only 3 H are present. Compared to H1 and H4 one proton from a surface OH group is transformed in a hydride on W, hence insuring the formal WVI oxidation state. H9 and H10 differ by the O atoms involved in the grafting. Finally, H11H13 are bigrafted tetrahydrides complexes with 4 protons left on the surface. W is hence at the oxidation degree VI. H11 and H12 only differ by the orientation of the bridge OH group, while H11 and H13 differ by the orientation of the hydrides.

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The relative energies of these grafted hydrides on γ-alumina are compared in Figure 2 (H 2 molecules have been added to keep the same number of H atoms).

Figure 2: Relative energies of the various grafted W hydrides. Gas phase H 2 molecules have been added to keep the same number of H atoms.

The surface hydrides of WIV are higher in energy compared to those of WVI, two exceptions being H6, a WVI complex that distorts the surface tetrahedral Al center and is hence poorly stable, and H10. Moreover, the WIV dihydrides can easily be transformed to WVI tetrahydrides by facile oxidative addition under H 2 . Hence their probability of existence is very small. A trihydride of WVI H8 is far more stable than the others: it is depicted with more details in Scheme 2 and will be labeled as structure 2 in the remaining of the article. In this complex, the tungsten atom is bound to the surface by three aluminoxy ligands (one O-Al IV and two O-Al VI ) and an aluminoxane bridge (O-µ 2 -Al V ,Al V ) and is quasi symmetrical. Hence W occupies the position of an octahedral Al in the alumina network, which contributes to the

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high stability. A hydrogen bond clearly exists between one H and a surface hydroxyl (2.02 Å), which further stabilizes the structure.

2

2’

Scheme 2: Structure of the most stable trihydrides of WVI: 2 (H8) on the left; 2' (H9) on the right. Distances in Å.

All attempts to displace a hydride from W to Al, accompanied by a charge transfer forming a cationic W center and an anionic Al as it was seen in the case of Zr grafted complexes,18 have given highly unstable systems. The formation of Al hydride by spill-over is hence excluded on this support. The experimentally observed Al hydrides are hence linked with a direct reactivity of H 2 on alumina. We have seen in the introduction that the tungsten hydrides, whatever their nature, are very active in metathesis. In the case of ethylene reactant for example, the first step is its coordination on W. All attempts to coordinate ethylene on 2 failed. The reason is that W is saturated and too deeply inserted in the alumina network. In contrast, the coordination was possible on H9, the second most stable complex, also a WVI trihydride. The metastable complex H9 is hence considered as a prototype of active site for W hydrides on alumina. It is shown in more details on scheme 2 and will be called 2' in the following. Among the two WO bonds, one is short (1.79 Å) and it can be viewed as a tungsten-oxo W=O bond in

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interaction with the alumina surface. This surface complex can hence be described as a Woxo-trihydride. The experimental IR spectrum shows two bands at 1804 and 1903 cm-1.2 These bands are however rather broad (full width at half maximum ~70 cm-1). The calculated W-H frequencies for the six most stable grafted W hydrides of Figure 2 are given in table S1 in the supporting information. Calculated frequencies are shifted too higher value compared to experiment by ~100 cm-1. 28 The stable trihydride structures 2 and 2’ give three frequencies, but after convolution with a Gaussian to reproduce the experimental broadening, the two highest value combine in one peak. Weak H-bond interaction between some W-H and a surface hydroxyl shifts the low frequency even lower. The reproduction of the separation between the two bands hence depends on the specific distribution of OH groups on the alumina surface, which is not possible to obtain accurately from our necessarily simplifying model of an otherwise rather heterogeneous distribution of OH groups. Hence, due to the limited resolution, the experimental spectrum is completely compatible with the proposed most stable structures 2 and 2’. Therefore, as a first conclusion, the structure of the active W hydride is likely to be a trihydride. In the next section, we will describe the formation pathways of the two bigrafted hydrides 2 and 2’ starting from the mono-grafted complex 1 and reacting it with H 2 . We will see that the path towards 2 is unfavorable in the early steps, and hence the catalyst synthesis process will mainly lead to the formation of the species 2’.

2- Formation of W(H) 3 /Al 2 O 3 under H 2 . Under H 2 three types of reactions can occur for the surface W alkylidyne-dialkyl complex 1 as shown on Figure 3 for the model complex 1m. The first one (indicated by

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−CH 4 ) consists in a second grafting process on a neighboring surface hydroxyl with elimination of a molecule of methane (experimentally neopentane).

Figure 3: reaction network for the formation of grafted W hydrides on alumina starting from a grafted alkylidyne-alkyl complex. −CH 4 (or −C 2 H 6 ) indicates a grafting process through an alkyl ligand, +H 2 a hydrogenation of the W≡C or W=C bond and +H 2 /-CH 4 (or +H 2 /-C 2 H 6 ) a hydrogenolysis of a W-C bond. Green arrows indicate the kinetically preferred pathway.

The second one is the addition of H 2 on the W≡C triple bond, (indicated as +H 2 ) leading to an alkylidene-hydride or in a second step to an alkyl-hydride product. The third one is a hydrogenolysis of a W-alkyl bond (indicated by +H 2 /-CH 4 ) with also elimination of methane (neopentane). The key difference between the trihydrides 2 and 2' resides in the Al-OH site for the second grafting. For 2, the second grafting takes place on the bridge hydroxyl between two Al V centers (H a in Scheme 1), while for 2', the hydroxyl involved is singly bound to an Al V (H b in Scheme 1). Hence, two pathways must be considered, depending on the site of the 11 ACS Paragon Plus Environment

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second grafting. The numbers indexed with a prime will correspond to the second grafting on O-Al IV forming intermediates ultimately leading to 2’. One of these three elementary reactions (grafting, hydrogenation, hydrogenolysis) can in principle proceed on 1m, and the formed intermediate complexes can react again following the same type of steps, giving the potential reaction network of Figure 3 that leads to a bigrafted tetrahydride 13 or 13’, similar to H11 or H13. This network is complex but only the lowest energy path is relevant. Hence we have focused at each step on the most favorable reaction. The corresponding energy profile for the first two steps is shown in Figure 4 while the structures of the 16 calculated intermediate complexes are given in Figure 5. For each step shown in Figure 4, the transition state (TS) has been characterized and its structure is shown in Figure 6.

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Figure 4: Energy profile (in kJ.mol-1) for the initial part of the reaction network for the formation of grafted W hydrides on alumina shown in Figure 5. Structures 14 and 15 correspond to the molecular adsorption of H 2 on 1 and 4, respectively.

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Figure 5- Structures of the intermediates involved in the initial part of the transformation of the methyl-methylidyne tungsten surface complex [(Al s O)W(≡CMe)(Me) 2 ] 1m to the tetrahydride [(Al s O) 2 WH 4 ] 13’.

Starting from 1m, the second grafting gives [(Al s O) 2 W(≡CCH 3 )(CH 3 )] 3 and 3' with a favorable reaction energy of -83 and -74 kJ/mol, respectively. The corresponding activation energies are however very different: a high value (126 kJ/mol) is found for the path through TS 1-3 while a much more moderate barrier (90 kJ/mol) is obtained through TS 1-3' , respectively. Hence, the bi-grafted complex 3 is more stable than 3' by 9 kJ/mol, but its formation is much slower with a difference in the activation energies of 36 kJ/mol, which at the reaction temperature of 150 °C corresponds to a rate 2*104 slower. The addition of hydrogen on W≡C in 1m gives [(Al s O)W(=CHCH 3 )H(CH 3 ) 2 ] 4 with a reaction energy of -51

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kJ/mol. It starts with the coordination of H 2 at the tungsten atom leading to the complex [(Al s O)W(≡CCH 3 )(H 2 )(CH 3 ) 2 ] 14 with a stabilization of -9 kJ/mol and an activation energy of circa 19 kJ/mol.

TS 1-3

TS 1-3'

TS 14-4

TS 14-5

TS 4-7

TS 4-7’

TS 4-15 TS 15-8 TS 15-9 Figure 6- Structures of the transition states involved in the transformation of the methylmethylidyne tungsten surface complex [(Al s O)W(≡CMe)(Me) 2 ] 1 to the tetrahydride [(Al s O) 2 WH 4 ] 13'.

Then the hydrogenation of the triple bond is very easy through TS 14-4 , with an activation energy of only 2 kJ/mol. The third possible reaction occurring at 1m is the hydrogenolysis with elimination of methane and formation of the [(Al s O)W(≡CCH 3 )H(CH 3 )] complex 5. The starting point is again complex 14 with a coordinated H 2 molecule. The corresponding TS, TS 14-5 , is 48 kJ/mol above 14. To summarize the reactivity of complex 1m under hydrogen, the easiest reaction is the formation of the molecular H 2 complex 14 compared to the second grafting. Then, the hydrogenation of the triple bond is much easier than the hydrogenolysis, which yields preferentially 4. Another important conclusion is that, if the second grafting occurs, it would clearly take place at O-Al IV , which favors for kinetic reasons the pathway

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leading to 3', then 6’, 11’, 12’, 13’ and then 2’. For that reason, only the pathway leading to 2’ has been calculated. Clearly, the second grafting is more activated than other reaction described, and will only happen after these reactions, later in the process. Figure 4 shows an electronic energy profile, and thermal effects could be important at the typical reaction temperature of 150°C. The main effect would arise due to the loss of entropy for H 2 adsorption, with a corresponding free energy contribution of +50 kJ/mol at 150°C and 1 atm pressure. For the first step, TS 1-14 , 14, TS 14-5 , TS 14-4 , 4 and 5 would be hence destabilized by 50 kJ/mol. The formation of 4 would nevertheless remain most favorable. For the second reaction step, starting from 4, the same three reactions are possible, namely the second grafting, the hydrogenation of the double bond and the hydrogenolysis. The second grafting gives [(Al s O) 2 W(=CHCH 3 )H(CH 3 )] 7 and 7' with a reaction energy of 45 and -57 kJ/mol, respectively. Contrary to the relative energies of 3 and 3', the complex grafted on O-Al IV 7' is slightly more stable that the one grafted on O-(Al V ) 2 7. In complex 7, the hydride is bridged between W and an Al atom with distances of 1.85 and 1.98 Å, respectively. In complex 7', the ethylenic H is agostic with a W-H distance of 2.19 Å and a small HCW angle of 90°. The corresponding activation energies are 142 and 104 kJ/mol, through TS 4-7 and TS 4-7' , respectively. Here again, the second grafting on the bridged oxygen is much more difficult than on O-Al IV . Moreover, the second grafting of complex 4 requires slightly larger barriers than that of complex 1. The hydrogenation of the double bond in 4 begins, as in the previous hydrogenation of 1,

with

the

molecular

coordination

of

H2

leading

to

the

complex

[(Al s O)W(=CHCH 3 )(H 2 )H(CH 3 ) 2 ] 15. This reaction is endothermic by 20 kJ/mol and needs a

barrier

of

29

kJ/mol.

Then

the

hydrogenation

itself

leading

to

complex

[(Al s O)W(CH 2 CH 3 )(H) 2 (CH 3 ) 2 ] 8 is exothermic by 31 kJ/mol. The activation energy is 58

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kJ/mol through TS 15-8 . Hence, the hydrogenation of the double bond is less exothermic and kinetically somewhat more difficult than that of the triple bond, as it could have been anticipated. To compare with the second grafting reaction, the total barrier from 4 is calculated to be 78 kJ/mol. Starting form 15, a hydrogenolysis reaction can also occur, leading to complex [(Al s O)W(=CHCH 3 )(H) 2 (CH 3 )] 9 with elimination of methane. The reaction is exothermic by 64 kJ/mol. In this complex, a strong agostic bond exits with W-H and C-H distances of distances 2.0 and 1.16 Å, respectively and a HCW angle of 79°. The transition state TS 15-9 is 60 kJ/mol less stable than 15, which gives a total barrier from 4 of 80 kJ/mol, comparable to the barrier of the double bond hydrogenation. Hence, both reactions are equally possible on the potential energy surface. As discussed for step 1, entropy loss from H 2 adsorption destabilize the hydrogenation profile by 50 kJ/mol. In that condition, grafting leading to 7’ shows the lowest free energy barrier. In conclusion, starting from 4, complex 7’ will be preferentially formed, corresponding to a second W-O-Al formed with the support. Further grafting is not possible, since it is sterically difficult to involve more OH groups on the surface starting from 7’. Hydrogenation and hydrogenolysis can continue further, with barriers supposedly equivalent to those found on step 2 (around 80 kJ/mol). Hydrogenation naturally stops after two additions of H 2 on the triple bond, while hydrogenolysis proceeds until all alkyl groups are consumed. This altogether leads to the formation of the complex [(Al s O) 2 WH 4 ] 13’, bi-grafted and tetrahydride. For these subsequent steps, reaction energies are all exothermic by 50-60 kJ.mol-1 (see Table 1) but the transition states have not been explicitly characterized. As explained above, the formation of 13 is kinetically hindered, since at step 2, the formation of 7’ (implying a terminal OH on an Al V center) is favored, orienting the reaction in the branch on bi-grafted complexes leading to 13’.

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Table 1: Electronic reaction energies / electronic activation energies for the reactions given in Figure 3 (in kJ/mol). 1m → 3 1m → 3'

-83/126

5→9

-90

-74/90

5 → 10

-42/2

7' → 11'

-45/142

11' → 12' -65

+20/29

13' → 16

-22

1m → 14 -9/≈19

6' → 11'

14 → 5

-15/48

9 → 11'

-57/104

12' → 13' -53

14 → 4 4→7 4 → 7'

4 → 15 15 → 8 15 → 9

-31/58

16 → 2'

-64/60

-52 -64 -57 +25/28 -51/76

Let us now discuss how the tretrakishydride 13' leads to the formation of the trihydride 2'. For this reaction, one hydride has to be removed, which can be performed in the presence of a neighbor proton to eliminate H 2 . We have then studied the reaction path shown on Scheme 3, the structure of intermediate 16 and of transition states being given in Figure 7.

Scheme 3: final reactions steps to form the W trihydride 2’

With the degree of hydration we have chosen for the alumina surface, corresponding to 3 H 2 O per cell, an OH is present close to 13', making a hydrogen bond (1.74 Å) with O-Al IV on which W is bound. Even if the hydration degree is lower, there are hydroxyls on the surface coming from the easy hydrogen dissociation on the γ-alumina surface. The migration of this proton to give complex 16 is endothermic (by 25 kJ/mol) and goes through TS 13'-16 with a 18 ACS Paragon Plus Environment

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low barrier of 28 kJ/mol. The elimination of H 2 from 16 is exothermic by -51 kJ/mol and yields 2' passing via TS 16-2' with a barrier of 76 kJ/mol. Note that entropic effects would favor H 2 desorption by an extra 50 kJ/mol at 150°C and 1 atm.

TS 13'-16

WH 4 -OH 16

TS 16-2'

Figure 7- Structures of the transtion states and intermediates involved in the transformation of the tetrahydride [(Al s O) 2 WH 4 ] 13' to the trihydride [(Al s O) 2 WH 3 ] 2'.

4- Conclusion In conclusion to the study of this complex network of reactions, the bi-grafted WVI trihydride (Al s O) 2 WH 3 2, although metastable, is preferentially kinetically formed upon reaction of hydrogen with grafted alkylidyne-alkyl W complex on alumina. Calculated energy barriers are reasonable and can be easily passed over at the reaction temperature (150°C). Among the three involved reactions, namely second grafting, hydrogenation of unsaturated C≡C or C=C bond and hydrogenolysis, the second grafting presents the largest electronic energy barriers (~100 kJ/mol), a value which is still very accessible at the considered temperature. Starting from the initial monografted [(Al s O)W(≡CCH 3 )(CH 3 ) 2 ] 1m complex, the most favorable first step is the hydrogenation of the W≡C bond, followed as a second step by the second grafting process, with formation of [(Al s O) 2 WH(=CHCH 3 )(CH 3 )] 7’. Performing the grafting on the bridging OH and forming 7 involves an activation energy 38 kJ/mol higher and is hence kinetically hindered. The present results hence explain why the more stable but not reactive W trihydride 2 is not formed, since it would come from intermediate 7. The metastable but reactive W trihydride 2', arising from 7’, presents a short W-O bond and hence can be described qualitatively as a W-oxo-trihydride in interaction with the alumina surface. Able to

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bind ethylene, it is a good candidate for further metathesis reactions. The second grafting step leading to 13, the tetrahydride precursor of the most stable but unreactive grafted W-hydride 2 is more than 104 times slower. Hence the synthesis process favors the formation of the metastable hydride 2’ which is less coordinated by the alumina surface and reactive. The process to form a metastable catalytic structure by grafting and reacting a metallic complex on an oxide support, shown here for the case of W-hydride on alumina, can be seen as good strategy to create active and selective catalysts.

Supporting Information available. Calculated W-H frequencies for the six most stable grafted W hydrides. (PDF) Acknowledgement The authors are grateful to the Centre Blaise Pascal and the Pôle Scientifique de Modélisation Numérique at the École Normale Supérieure de Lyon for HPC resources.

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